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  Analytical and numerical treatment of perturbed black holes in horizon-penetrating coordinates

Bhattacharyya, M. K., Hilditch, D., Nayak, K. R., Rüter, H. R., & Bruegmann, B. (2020). Analytical and numerical treatment of perturbed black holes in horizon-penetrating coordinates. Physical Review D, 102: 024039. doi:10.1103/PhysRevD.102.024039.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0006-B4DE-5 Version Permalink: http://hdl.handle.net/21.11116/0000-0006-B4DF-4
Genre: Journal Article

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Bhattacharyya, Maitraya K, Author
Hilditch, David, Author
Nayak, K Rajesh, Author
Rüter, Hannes R.1, Author              
Bruegmann, Bernd, Author
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: The deviations of non-linear perturbations of black holes from the linear case are important in the context of ringdown signals with large signal-to-noise ratio. To facilitate a comparison between the two we derive several results of linear perturbation theory in coordinates which may be adopted in numerical work. Specifically, our results are derived in Kerr-Schild coordinates adjusted by a general height function. In the first part of the paper we address the questions: for an initial configuration of a massless scalar field, what is the amplitude of the excited quasinormal mode (QNM) for any observer outside outside the event horizon, and furthermore what is the resulting tail contribution? This is done by constructing the full Green's function for the problem with exact solutions of the confluent Heun equation satisfying appropriate boundary conditions. In the second part of the paper, we detail new developments to our pseudospectral numerical relativity code bamps to handle scalar fields. In the linear regime we employ precisely the Kerr-Schild coordinates treated by our previous analysis. In particular, we evolve pure QNM type initial data along with several other types of initial data and report on the presence of overtone modes in the signal.

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 Dates: 2020-04-062020
 Publication Status: Published in print
 Pages: 25 pages, 7 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 2004.02558
URI: http://arxiv.org/abs/2004.02558
DOI: 10.1103/PhysRevD.102.024039
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 102 Sequence Number: 024039 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258